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A note on the paper "Best proximity point of generalized -proximal non-self contractions
Sumit Som
In the year 2021, Beg et al. \cite{beg} [J. Fixed Point Theory Appl.(2021)] introduced two classes of non-self mappings namely, generalized -proximal contraction of the first ki…
A remark on the paper "A note on the paper Best proximity point results for -proximal contractions"
Sumit Som
Recently, In the year 2020, Altun et al. \cite{AL} introduced the notion of -proximal contractions and discussed about best proximity point results for this class of mappings. T…
A note on best proximity point for proximal contraction
Sumit Som
In the year 2011, S.Basha \cite{BS} introduced the notion of proximal contraction in a metric space and study the existence and uniqueness of best proximity point for this clas…
Best proximity point results in topological spaces and extension of Banach contraction principle
Sumit Som, Supriti Laha, Lakshmi Kanta Dey
In this paper, we introduce the notion of topologically Banach contraction mapping defined on an arbitrary topological space X with the help of a continuous function $g:X\times X\r…
Some remarks on the metrizability of some well known generalized metric-like structures
Sumit Som, Adrian Petrusel, Lakshmi Kanta Dey
In \cite[\, An, V.T., Tuyen, Q.L. and Dung, V.N., Stone-type theorem on -metric spaces and applications, Topology Appl. 185-186 (2015), 50-64.]{an}, An et al. had provided a suf…
A generalization of the density zero ideal
Sumit Som
Let be a sequence of nonempty finite subsets of such that and define the ideal $$\mathcal{I}(\mathscr{F}):=\left\{A\subseteq ω: |A\cap…